We have been given that the graph of [tex]F(x)[/tex] has the same shape as the graph of [tex]G(x)=x^2[/tex], but it is flipped over the x-axis and shifted down 1 unit. We are asked to find the equation of [tex]F(x)[/tex].
We will use transformation rules to solve our given problem.
The rule of reflection of a graph about x-axis is [tex]f(x)\Rightarrow -f(x)[/tex].
Let us find [tex]-G(x)[/tex] as:
[tex]-G(x)=-(x^2)=-x^2[/tex]
Now we will shift our graph 1 unit down.
[tex]f(x)-a\Rightarrow\text{Graph shifted downwards by a units}[/tex], where a is a positive number.
This is same as subtracting 1 from [tex]-x^2[/tex] as:
[tex]F(x)=-x^2-1[/tex]
Therefore, our required function would be [tex]F(x)=-x^2-1[/tex].
What is f(0)?
Im pretty sure the answer is infinity or DNE.
Please help
Answer: It represents the y intercept of f(x). ... f(0) represents the ordinate of the point where the function intersects the y axis. This is the y intercept of the function.
Step-by-step explanation:
Pi ends after how many decimal places?
Answer:
31.4 trillion decimal places but no one really knows how many decimal places there are. 31.4 trillion decimal places is a world record set by google
Step-by-step explanation:
Answer:
`31.4 trillion decimal places.
Explanation:
As far as we know Google found out that there is about 31.4 trillion decimal places which is rounded to 3.14. Google is not 100% accurate though, Pi is a mathematical number that never ends so we just use what we know which is 3.14. Pi is an ideal that in numerical terms can be approached, but never reached. In order to calculate Pi simply involves taking any circle and dividing its circumference by its diameter. William Jones is the "founder" of Pi in 1706. Jones was a British little-known mathematics teacher, Jones was the first person to use a symbol to represent the platonic concept of Pi.
I hope this helps. : )
Write an equation for a line ( in slope intercept point slope form) that passes through the point (8,-2) and is perpendicular to y=4x+6
Answer:
y=-1/4x+ 2
Step-by-step explanation:
Solve the following equation step by step.
x/3 + -4 + x
A mill processes 48 tons of flour in 3 hours. How many tons of flour can the mill process in 8 hours if its rate or production stays the same?
Answer:
128 tons can be processed in 8 hours.
Step-by-step explanation:
48 divided by 3 = 16 (to see how much tons are produced in 1 hr.)
16 x 8
=128
Answer:
128 tons in 8 hours
Step-by-step explanation:
do 48 divided by 3 = 16
to see how much tons get produced in an hr.
then when you do 16x8 which is 128
On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2).
How do the areas of the parallelograms compare?
The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2.
The area of parallelogram 1 is equal to the area of parallelogram 2.
The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.
Answer:
The answer is: A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
Step-by-step explanation:
Hope this helped :)
Answer:
A
Step-by-step explanation:
At the candy store the sell a 3 -pack of large chocolate bars for $6.45 and a 4 -pack of large chocolate bars for $8.20. Use Unit Rate to find out which pack is a single bar the cheapest.
Answer:
the cheapest is 8.20/4 bars
Step-by-step explanation:
we have to compare the price of one bar in both situations
1 bar= 6.45/3 compare with 1 bar=8.20/4
2.15 >2.05
the cheapest is 8.20/4 bars
please calculate the volume of the cylinder below. use 3.14 as approximation for Pi. (MIDDLE SCHOOL MATH)
the answer is V≈254.47
Macy has a circular garden that has a radius of 4.5 meters. What is the circumference of her garden? Use 3.14 for pi
A. 28.26
B. 56.52
C. 63.58
D. 14.13
Answer:
A)28.26Step-by-step explanation:
4.5 * 2 = 99 * 3.14 = 28.26I hope you find this helpful.ariq’s design for a swimming pool is shown here. What is the area of the pool cover needed for the design?
____ ft^2
Answer:
it’s 76 ft squared
Step-by-step explanation:
happy to help:)
A triangle has sides with lengths of 10 centimeters, 17 centimeters, and 19 centimeters. Is it a right triangle?
Answer:
Yes
Step-by-step explanation:
19 is bigger!
Answer: No it is not a right triangle :)
you need to pay 8% tax on a car that costs $12,00. what will you end up paying in total?
Answer:
12960
Step-by-step explanation:
12,000 × .08 = 960
12,000 + 960 = 12,960
1) A 30-ft. ladder leans against a wall so that the base of the ladder
is 10 ft. from the base of the wall. What angle does the ladder
make with the ground?
A) 70.5
B) 19.5
C) 18.4
D) 33.3
Answer:
A) 70.5
Step-by-step explanation:
cos x = adjacent side/ hypotenuse
cos x = 10/ 30
cos x = 0.3
cos 70 = 0.3420
cos 71 = 0.3256
x = 70.5
The width of a rectangular room is 60% of its length. The length of the room is 10 feet. What is the area of the room?
The area of the room is blank square feet.
Answer:
60ft^2
Step-by-step explanation:
60% of 10 is 6 and LxW is 10x6 so the area is 60 feet
What is the greatest number of x’s all the terms have in common?
PLEASE HELP!
Answer:all the terms have in common is 1x
Step-by-step explanation:
check out the square pyramid
Answer:
your answer should be 40
Step-by-step explanation:
the square's area is 4x4=16
and the triangles are 4(.5(3x4))=24
24+16=40
Write and solve an equation to find the value of x. PLSS HELP
Answer & Step-by-step explanation:
Vertical angles are congruent meaning that these two angles are going to have the same measurement. Since we know this, then we can set up an equation where one angle is equal to the other.
x + 10 = 55
Subtract 10 on both sides of the equation.
x = 45
So, the value of x is 45.
imdum plzzz educate me [just plz help me]
thanks;]
Answer:
Simplify the expression.
Exact form:
13/4
Decimal form:
3.25
Mixed number form:
3 1/4
Step-by-step explanation:
HELP ME PLZ ASAP!!!!!
Answer:
x=30, A=132
Step-by-step explanation:
These 2 angels are alternate interior angles so they are equal
5x-18=3x+42
Solve.
2x=60
x=30
Now substitute x into angle A
A=150-18
A=132
Answer:
The variable X should be 30.
Step-by-step explanation:
∠132=5(30)-18° = ∠132=3(30)+42°
Find the interquartile range (IQR) of the data in the box plot below.
PLZ ASAP PLZ ASAP
Answer:
3
Step-by-step explanation:
To find the IQR, use this formula:
Quartile 3 – Quartile 1
this will get you the IQR of a box and whisker plot :)
(pls mark brainliest)
I need help please!!!
can somebody help me please??:)
Answer:
9/16
Step-by-step explanation:
The base of a rectangular prism has an area of 13 2/3, and the height of the prism is 8 5/6. What is the volume of the prism? Be sure to use this format: whole number numerator/denominator.
Answer:
120 [tex]\frac{13}{18}[/tex]
Step-by-step explanation:
The formula for finding the volume of a prism is:
V = Bh
You have to convert 13 [tex]\frac{2}{3}[/tex] into an improper fraction, like so:
[tex]\frac{41}{3}[/tex]
Convert the other:
[tex]\frac{53}{6}[/tex]
Multiply:
[tex]\frac{41}{3}[/tex] · [tex]\frac{53}{6}[/tex] = [tex]\frac{2173}{18}[/tex]
Convert to mixed fraction:
120 [tex]\frac{13}{18}[/tex]
Where do baby’s come from?
Answer:
It's a long story.it forms in the mother for 9 months and then it's born.i hope I helped you out ☺️
Step-by-step explanation:
A sphere has a diameter of 8 inches what is the correct way to calculate the volume of the sphere?
A .V= 2/3(pi sign ) (4)3
B. V = 4/3(pi sign ) (8)3
C. V=2/3(pi sign ) (8)3
D. V= 4/3(pi sign ) (4)3
What mistake did Antonio make?
Answer: The theorem he used is the SAS (side-angle-side) theorem. The diagram actually depicts 2 sides and 1 angle, but the angle is not sandwiched by the sides, meaning it would be a SSA, not SAS.
Step-by-step explanation:
For Antonio to be correct, the angle would have to be between the two given side lengths, so it would have to be angle A or angle T.
Which of these expressions is equivalent to log(25 • 18)?
A. log(25) – log(18)
B. log(25) + log(18)
C. 25. log(18)
D. log(25) .log(18)
SUBMIT
Answer: B. log(25) + log(18)
Step-by-step explanation:
Use the rule for the sum of logs: the log of a product is the sum of the logs, which means log(x) + log(y) = log(xy) if they have the same base.
[tex] log(25 \times 18) \\ by \: \: \: using \: \: \: the \: \: \: following \: \: \: rule \: \: \: of \: \: \: logarithm \\ log(x \times y) = log(x) + log(y) \: \: \: \: we \: \: \: have \\ log(25) + log(18) [/tex]
Answer:B. log (25) + log (18)
Hope it helps.
Do comment if you have any query.
What is the solution to the equation?
2/3a - 1/6 = 1/3
Answer:
a in this equation would be 3/4 because...
Step-by-step explanation:
2/3a−1/6=1/3
2/3a+−1/6=1/3
2/3a+−1/6+1/6=1/3+1/6
2/3a=1/2
Multiply both sides by 3/2.
(3/2)*(2/3a)=(3/2)*(1/2)
a=3/4
Hope this helps!
Is my answer correct?
Answer: Yes, your answer is correct.
PLEASE HELPP
A 5
B 6
C -5
D NONE OF THE VALUES
Answer:
A) 5
Step-by-step explanation:
You are solving for y when x = 0
Note that: y = x + 5
Plug in 0 for x in the equation, and simplify:
y = x + 5
y = 0 + 5
y = 5
A) 5 is your answer.
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